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39952384 = 2134877
BaseRepresentation
bin1001100001101…
…0000000000000
32210011210100221
42120122000000
540211434014
63544152424
7663406153
oct230320000
983153327
1039952384
11206088aa
1211468714
13837ac84
14543dc9a
153792b24
hex261a000

39952384 has 28 divisors (see below), whose sum is σ = 79916274. Its totient is φ = 19972096.

The previous prime is 39952379. The next prime is 39952387. The reversal of 39952384 is 48325993.

It can be written as a sum of positive squares in only one way, i.e., 36966400 + 2985984 = 6080^2 + 1728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39952384.

It is not an unprimeable number, because it can be changed into a prime (39952387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5754 + ... + 10630.

Almost surely, 239952384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39958137).

39952384 is an abundant number, since it is smaller than the sum of its proper divisors (39963890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39952384 is an frugal number, since it uses more digits than its factorization.

39952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4879 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 39952384 is about 6320.7898240647. The cubic root of 39952384 is about 341.8594317613.

The spelling of 39952384 in words is "thirty-nine million, nine hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4877 8192 9754 19508 39016 78032 156064 312128 624256 1248512 2497024 4994048 9988096 19976192 39952384